Atkin-Lehner |
3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
13005a |
Isogeny class |
Conductor |
13005 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
274176 |
Modular degree for the optimal curve |
Δ |
-2.1262435668798E+19 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -1 2 -7 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,610747,124217912] |
[a1,a2,a3,a4,a6] |
Generators |
[1698:76963:1] |
Generators of the group modulo torsion |
j |
462866157/390625 |
j-invariant |
L |
2.1917433392686 |
L(r)(E,1)/r! |
Ω |
0.13950333961785 |
Real period |
R |
3.9277614164517 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13005d1 65025d1 13005f1 |
Quadratic twists by: -3 5 17 |